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Finding the Fourth Proportional to 2,730.98, 3,767.86 and 1,612.29

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Solution

The fourth proportional to 2,730.98, 3,767.86 and 1,612.29 is: 2,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.98 : 3,767.86 = 1,612.29 : x
  2. Step 2: Convert to fraction form
    2,730.98/3,767.86 = 1,612.29/x
  3. Step 3: Cross multiply
    2,730.98x = 3,767.86 × 1,612.29
  4. Step 4: Simplify right side
    2,730.98x = 6,074,883.00
  5. Step 5: Solve for x
    x = 6,074,883.00/2,730.98
  6. Step 6: Final answer
    x = 2,224.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.